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Math Help - Partial fractions

  1. #1
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    Partial fractions

    I'm trying to evaluate an integral of a rational function, but I'm wondering if the following step is correct:

    \[\frac{x^2}{\left (x^2-9 \right )^2}=\frac{1/3}{x+3}+\frac{1/4}{\left (x+3 \right )^2}+\frac{1/2}{x-3}+\frac{1/4}{\left ( x-3 \right )^2}\]
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  2. #2
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    You can always get common denominators on the RHS, add them up, and see if you get the LHS as a check on your method. What do you get when you do that?
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  3. #3
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    Ooops, it's suppose to be \[\frac{x^2}{\left (x^2-9  \right )^2}=-\frac{1/12}{x+3}+\frac{1/4}{\left (x+3  \right )^2}+\frac{1/12}{x-3}+\frac{1/4}{\left ( x-3 \right )^2}\].
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  4. #4
    A Plied Mathematician
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    That's correct.
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